Conformal automorphisms of countably connected regions

DOI10.1090/S1088-4173-2013-00253-1zbMath1283.30010OpenAlexW2069988634MaRDI QIDQ2841083

Ian Short

Publication date: 24 July 2013

Published in: Conformal Geometry and Dynamics of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4173-2013-00253-1

zbMATH Keywords

Fuchsian groupMöbius transformationdiscreteconformal automorphismcircular region

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Conformal mappings of special domains (30C20) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

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• Fixed points, Koebe uniformization and circle packings
• Conformal Transformations of Riemann Surfaces
• On the number of 1-1 directly conformal maps which a multiply-connected plane region of finite connectivity 𝑝({>2}) admits onto itself

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